Results 91 to 100 of about 14,670,895 (289)

Inverse differential quadrature method: mathematical formulation and error analysis. [PDF]

Proc Math Phys Eng Sci, 2021
Ojo SO, Trinh LC, Khalid HM, Weaver PM.
europepmc   +1 more source

Characterization and Repetition Rate Locking of a 1 GHz Erbium‐Doped ZBLAN Waveguide‐Chip Comb Laser

Laser &Photonics Reviews, EarlyView.
A compact, erbium‐doped ZBLAN waveguide chip mode‐locked laser that self‐starts, delivers stable ultrashort pulses, and repetition rate locked to a 1 GHz radio‐frequency reference. The laser produces near transform‐limited 324 fs pulses and 12 nm bandwidth with low noise and long‐term stability, with potential applications in optical frequency ...
Wen Qi Zhang, Nicolas Bourbeau Hébert, Dale E. Otten, Colin Hall, David G. Lancaster   +4 more
wiley   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

On the Convergence of Random Differential Quadrature (RDQ) Method and Its Application in Solving Nonlinear Differential Equations in Mechanics

, 2009
Differential Quadrature (DQ) is one of the efficient derivative approximation techniques but it requires a regular domain with all the points distributed only along straight lines.
Hua Li, Simon See, Shantanu S. Mulay
core   +1 more source

Numerical methods for boundary value problems on random domains [PDF]

, 2014
In this thesis, we consider the numerical solution of elliptic boundary value problems on random domains. The underlying domain is modelled via a random vector field which is given by its mean and its covariance.
Peters, Michael
core   +1 more source

Strain Rate Angle Distribution as an Indicator of Post‐Infarct Myocardial Remodeling: Proof‐of‐Concept of a Novel Application of the MRI Derived Strain Rate Tensor Field

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose Left ventricular (LV) strain is an early indicator of myocardial dysfunction. However, conventional strain metrics do not fully account for the multidirectional nature of myocardial deformation. The strain rate tensor, derived from velocity‐encoded MRI, represents the time‐resolved magnitude and direction of strain rate without the ...
Lasse Totland, Bård A. Bendiksen, Einar S. Nordén, Ida Marie Hauge‐Iversen, Kaja Knudsen Bergo, Lili Zhang, Ivar Sjaastad, Emil K. S. Espe   +7 more
wiley   +1 more source

An Adaptive Metasurface for Adjustable Magnetic Resonance Imaging Enhancement at 3 T and 7 T: A Feasibility Study

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose Ultra‐high field (≥ 7 T) and 3 T MRI suffer from B1+ inhomogeneity and signal loss. Conventional metasurfaces that mitigate B1+ inhomogeneity and improve image SNR are “fixed” in nature and designed for a single Larmor frequency. This study demonstrates the feasibility of an adaptive metasurface utilizing voltage‐controlled capacitors ...
Paul S. Jacobs, Pradnya Narvekar, Neil E. Wilson, Gabor Mizsei, Wyger Brink, John A. Detre, Mark A. Elliott, Ravinder Reddy   +7 more
wiley   +1 more source

Nonlinear Stability and Convergence of Two-Step Runge-Kutta Methods for Volterra Delay Integro-Differential Equations

Abstract and Applied Analysis, 2013
This paper introduces the stability and convergence of two-step Runge-Kutta methods with compound quadrature formula for solving nonlinear Volterra delay integro-differential equations.
Haiyan Yuan, Cheng Song
doaj   +1 more source

Toward Brain Biosignature at 7 T—Repeatability of a Multiparametric CEST, QSM, QTI, and Sodium Imaging Protocol

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To evaluate the repeatability of an extended multiparametric 7 T MRI protocol for voxel‐wise tissue characterization combining morphological, CEST, QSM, QTI, and Sodium contrasts. Methods A repeatability study was performed in 12 volunteers without diagnosed neurological disease on a 7 T MRI system, using a comprehensive acquisition ...
Annika Hofmann, Martin Freudensprung, Lion Mücke, Tobias Wilferth, Zijin Yang, Dominik Perrin, Julius Glaser, Katharina Tkotz, Magda Duarte, Simon Weinmüller, Oliver Chaudry, Annemarie Wirth, Angelika Mennecke, Oliver Gödicke, Patrick Liebig, Lena V. Gast, Philipp Ehses, Clemens Stilianu, Rudolf Stollberger, Jannis Hanspach, Alexander German, Jürgen Winkler, Michael Uder, Arnd Doerfler, Sebastian Bickelhaupt, Andreas Maier, Katharina Breininger, Moritz Zaiss, Armin M. Nagel, Frederik B. Laun, Florian Knoll   +30 more
wiley   +1 more source

Differential Quadrature Analysis of Free Vibration of Symmetric Cross-Ply Laminates with Shear Deformation and Rotatory Inertia

Shock and Vibration, 1995
In the present work, laminates having two opposite edges simply supported are considered. The boundary conditions at the other two opposite edges may be general, and between these two edges, the thickness of the plate may be nonuniform.
Moinuddin Malik, Charles W. Bert
doaj   +1 more source